Title :
Resonant modes of a concentric spherical cavity with conically stratified medium
Author :
Kandasamy, Pirapaharan ; Okamoto, Nobuo
Author_Institution :
Dept. of Electron., Kinki Univ., Osaka, Japan
fDate :
1/1/2001 12:00:00 AM
Abstract :
An analysis on electromagnetic fields of a cavity formed by two concentric conducting spheres with a conically stratified medium is presented in this paper. Angular transmission formulation and the radial eigenfunction expansion are used to formulate the field components. Boundary matching methods are applied to obtain the characteristic equations containing various infinite series of spherical Hankel functions and Legendre functions of complex order for resonant frequencies. The first two resonant frequencies and field expansion coefficients are determined numerically. The distribution pattern of angular field components and the forms of typical electric field lines and magnetic field lines for the first resonant fields are also indicated
Keywords :
Hankel matrices; Legendre polynomials; cavity resonators; eigenvalues and eigenfunctions; electromagnetic fields; mode matching; Legendre functions; angular transmission formulation; boundary matching methods; characteristic equations; concentric spherical cavity; conically stratified medium; distribution pattern; electric field lines; electromagnetic fields; field expansion coefficients; infinite series; magnetic field lines; radial eigenfunction expansion; resonant frequencies; spherical Hankel functions; Dielectrics; Eigenvalues and eigenfunctions; Electromagnetic analysis; Electromagnetic fields; Equations; Magnetic analysis; Mode matching methods; Performance analysis; Resonance; Resonant frequency;
Journal_Title :
Microwave Theory and Techniques, IEEE Transactions on
